#Density : 135142014270272609258415363/200000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 26, 57}
Number of terms              : 5


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 1
Number of flags    : 2
Matrix dimension   : 2

Flags :
F1 : {}
F2 : {01}

Basis :
B1 : (F1)
B2 : (F2)

Matrix :
37897402216152874726649/1953125000000000000000000 -831399813332114539609301/31250000000000000000000000
-831399813332114539609301/31250000000000000000000000 18239393973924055813277249/500000000000000000000000000


--- Term 2 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {02}
F3 : {13}
F4 : {02, 13}
F5 : {23}
F6 : {02, 23}
F7 : {13, 23}
F8 : {02, 13, 23}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)
B4 : (F5)
B5 : (F6)+(F7)
B6 : (F8)

Matrix :
328153298189653098884499567/500000000000000000000000000 -138854609010004601186727007/1000000000000000000000000000 -100785825876556494697285197/200000000000000000000000000 765333438013204553428357263/1000000000000000000000000000 430708157969720192645148917/1000000000000000000000000000 -1043042657539840922083430969/1000000000000000000000000000
-138854609010004601186727007/1000000000000000000000000000 39708663739211093751534029/1000000000000000000000000000 3562744622774939999930103/1000000000000000000000000000 -227926199717670093026581727/1000000000000000000000000000 -134874447125254445127462863/1000000000000000000000000000 76835881906737474958784569/250000000000000000000000000
-100785825876556494697285197/200000000000000000000000000 3562744622774939999930103/1000000000000000000000000000 1608994199169280324573459853/1000000000000000000000000000 70751210794880067133549067/1000000000000000000000000000 54731610557701508604819243/1000000000000000000000000000 -7953215180980132443089647/125000000000000000000000000
765333438013204553428357263/1000000000000000000000000000 -227926199717670093026581727/1000000000000000000000000000 70751210794880067133549067/1000000000000000000000000000 1314167633150035059921564961/1000000000000000000000000000 156353714573564979965653289/200000000000000000000000000 -885010017529241658109694903/500000000000000000000000000
430708157969720192645148917/1000000000000000000000000000 -134874447125254445127462863/1000000000000000000000000000 54731610557701508604819243/1000000000000000000000000000 156353714573564979965653289/200000000000000000000000000 560110997018903564160852837/1000000000000000000000000000 -262879367151165786158636809/250000000000000000000000000
-1043042657539840922083430969/1000000000000000000000000000 76835881906737474958784569/250000000000000000000000000 -7953215180980132443089647/125000000000000000000000000 -885010017529241658109694903/500000000000000000000000000 -262879367151165786158636809/250000000000000000000000000 2384707093647206429441184489/1000000000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 2

Flags :
F1 : {02}
F2 : {13}
F3 : {02, 23}
F4 : {13, 23}

Basis :
B1 : (F2)-(F1)
B2 : (F4)-(F3)

Matrix :
34430067051892704732129829/250000000000000000000000000 846470551325325665953851/6250000000000000000000000
846470551325325665953851/6250000000000000000000000 164922411869584198198905879/250000000000000000000000000


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 6

Flags :
F1 : {01}
F2 : {01, 02}
F3 : {01, 13}
F4 : {01, 02, 13}
F5 : {01, 23}
F6 : {01, 02, 23}
F7 : {01, 13, 23}
F8 : {01, 02, 13, 23}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)
B4 : (F5)
B5 : (F6)+(F7)
B6 : (F8)

Matrix :
81777673291197783011561351/25000000000000000000000000 343280142295275119435901857/1000000000000000000000000000 -3020496991941211738650905431/1000000000000000000000000000 1898083100596003417176233471/1000000000000000000000000000 -840771579169031377453805849/500000000000000000000000000 1063628029515966042486070211/1000000000000000000000000000
343280142295275119435901857/1000000000000000000000000000 86794258506179340013327811/1000000000000000000000000000 -261144351483586015170208453/1000000000000000000000000000 278433517526985296471673737/1000000000000000000000000000 -10086832426789579816684781/50000000000000000000000000 68689291879062865013515847/1000000000000000000000000000
-3020496991941211738650905431/1000000000000000000000000000 -261144351483586015170208453/1000000000000000000000000000 3321668744034922735951007981/1000000000000000000000000000 -905557320262431287225197459/1000000000000000000000000000 130229343971367268776841349/100000000000000000000000000 -1239453657299903477431309753/1000000000000000000000000000
1898083100596003417176233471/1000000000000000000000000000 278433517526985296471673737/1000000000000000000000000000 -905557320262431287225197459/1000000000000000000000000000 2660496769007429306862072779/1000000000000000000000000000 -341582764709399089416020263/250000000000000000000000000 82913000278779836120422133/1000000000000000000000000000
-840771579169031377453805849/500000000000000000000000000 -10086832426789579816684781/50000000000000000000000000 130229343971367268776841349/100000000000000000000000000 -341582764709399089416020263/250000000000000000000000000 61425303571846119512364473/62500000000000000000000000 -109051311935490113716478761/250000000000000000000000000
1063628029515966042486070211/1000000000000000000000000000 68689291879062865013515847/1000000000000000000000000000 -1239453657299903477431309753/1000000000000000000000000000 82913000278779836120422133/1000000000000000000000000000 -109051311935490113716478761/250000000000000000000000000 639231280081763165824962311/1000000000000000000000000000


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 2

Flags :
F1 : {01, 02}
F2 : {01, 13}
F3 : {01, 02, 23}
F4 : {01, 13, 23}

Basis :
B1 : (F2)-(F1)
B2 : (F4)-(F3)

Matrix :
187916848375240977552826011/250000000000000000000000000 15488584673209735124079/24414062500000000000000
15488584673209735124079/24414062500000000000000 164450327444090799404539167/50000000000000000000000000

